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Edge Length of Truncated Icosahedron given Midsphere Radius Formula

GoEdge Length of Truncated Icosahedron given Circumsphere Radius Formula

GoEdge Length of Truncated Icosahedron given Volume Formula

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Edge Length of Truncated Icosahedron is the length of any edge of the Truncated Icosahedron. Check FAQs

l e = \frac{4 \cdot r m}{3 \cdot (1 + \sqrt{5})}

l_e - Edge Length of Truncated Icosahedron?r_m - Midsphere Radius of Truncated Icosahedron?

Edge Length of Truncated Icosahedron given Midsphere Radius Example

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Here is how the Edge Length of Truncated Icosahedron given Midsphere Radius equation looks like with Values.

Here is how the Edge Length of Truncated Icosahedron given Midsphere Radius equation looks like with Units.

Here is how the Edge Length of Truncated Icosahedron given Midsphere Radius equation looks like.

9.8885 = \frac{4 \cdot 24}{3 \cdot (1 + \sqrt{5})}

9.8885m = \frac{4 \cdot 24m}{3 \cdot (1 + \sqrt{5})}

9.8885 = \frac{4 \cdot 24}{3 \cdot (1 + \sqrt{5})}

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Edge Length of Truncated Icosahedron given Midsphere Radius Solution

Follow our step by step solution on how to calculate Edge Length of Truncated Icosahedron given Midsphere Radius?

FIRST Step Consider the formula

l e = \frac{4 \cdot r m}{3 \cdot (1 + \sqrt{5})}

Next Step Substitute values of Variables

∴

l e = \frac{4 \cdot 24m}{3 \cdot (1 + \sqrt{5})}

Next Step Prepare to Evaluate

∴

l e = \frac{4 \cdot 24}{3 \cdot (1 + \sqrt{5})}

Next Step Evaluate

∴

l e = 9.88854381999832m

LAST Step Rounding Answer

∴

l e = 9.8885m

Edge Length of Truncated Icosahedron given Midsphere Radius Formula Elements

Variables

Functions

Edge Length of Truncated Icosahedron

Edge Length of Truncated Icosahedron is the length of any edge of the Truncated Icosahedron.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Truncated Icosahedron

Midsphere Radius of Truncated Icosahedron

Midsphere Radius of Truncated Icosahedron is the radius of the sphere for which all the edges of the Truncated Icosahedron become a tangent line on that sphere.

Symbol: r_m

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Midsphere Radius of Truncated Icosahedron

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Edge Length of Truncated Icosahedron

Go Edge Length of Truncated Icosahedron given Circumsphere Radius

l e = \frac{4 \cdot r c}{\sqrt{58 + (18 \cdot \sqrt{5})}}

Go Edge Length of Truncated Icosahedron given Volume

l e = {(\frac{4 \cdot V}{125 + (43 \cdot \sqrt{5})})}^{\frac{1}{3}}

Other formulas in Edge Length of Truncated Icosahedron category

Go Icosahedral Edge Length of Truncated Icosahedron

l e(Icosahedron) = 3 \cdot l e

Go Circumsphere Radius of Truncated Icosahedron

r c = \frac{\sqrt{58 + (18 \cdot \sqrt{5})}}{4} \cdot l e

Go Midsphere Radius of Truncated Icosahedron

r m = \frac{3 \cdot (1 + \sqrt{5})}{4} \cdot l e

Go Midsphere Radius of Truncated Icosahedron given Icosahedral Edge Length

r m = \frac{1 + \sqrt{5}}{4} \cdot l e(Icosahedron)

How to Evaluate Edge Length of Truncated Icosahedron given Midsphere Radius?

Edge Length of Truncated Icosahedron given Midsphere Radius evaluator uses Edge Length of Truncated Icosahedron = (4*Midsphere Radius of Truncated Icosahedron)/(3*(1+sqrt(5))) to evaluate the Edge Length of Truncated Icosahedron, Edge Length of Truncated Icosahedron given Midsphere Radius formula is defined as the length of any edge of the Truncated Icosahedron, and calculated using the midsphere radius of the Truncated Icosahedron. Edge Length of Truncated Icosahedron is denoted by l_e symbol.

How to evaluate Edge Length of Truncated Icosahedron given Midsphere Radius using this online evaluator? To use this online evaluator for Edge Length of Truncated Icosahedron given Midsphere Radius, enter Midsphere Radius of Truncated Icosahedron (r_m) and hit the calculate button.

FAQs on Edge Length of Truncated Icosahedron given Midsphere Radius

What is the formula to find Edge Length of Truncated Icosahedron given Midsphere Radius?

The formula of Edge Length of Truncated Icosahedron given Midsphere Radius is expressed as Edge Length of Truncated Icosahedron = (4*Midsphere Radius of Truncated Icosahedron)/(3*(1+sqrt(5))). Here is an example- 9.888544 = (4*24)/(3*(1+sqrt(5))).

How to calculate Edge Length of Truncated Icosahedron given Midsphere Radius?

With Midsphere Radius of Truncated Icosahedron (r_m) we can find Edge Length of Truncated Icosahedron given Midsphere Radius using the formula - Edge Length of Truncated Icosahedron = (4*Midsphere Radius of Truncated Icosahedron)/(3*(1+sqrt(5))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Edge Length of Truncated Icosahedron?

Here are the different ways to Calculate Edge Length of Truncated Icosahedron-

Edge Length of Truncated Icosahedron=(4*Circumsphere Radius of Truncated Icosahedron)/(sqrt(58+(18*sqrt(5))))
Edge Length of Truncated Icosahedron=((4*Volume of Truncated Icosahedron)/(125+(43*sqrt(5))))^(1/3)

Can the Edge Length of Truncated Icosahedron given Midsphere Radius be negative?

No, the Edge Length of Truncated Icosahedron given Midsphere Radius, measured in Length cannot be negative.

Which unit is used to measure Edge Length of Truncated Icosahedron given Midsphere Radius?

Edge Length of Truncated Icosahedron given Midsphere Radius is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Edge Length of Truncated Icosahedron given Midsphere Radius can be measured.

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